10120122221011 has 64 divisors (see below), whose sum is σ = 12044425559040. Its totient is φ = 8406207040000.

The previous prime is 10120122220997. The next prime is 10120122221017. The reversal of 10120122221011 is 11012222102101.

It is not a de Polignac number, because 10120122221011 - 2⁷ = 10120122220883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120122221017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1164164781 + ... + 1164173473.

It is an arithmetic number, because the mean of its divisors is an integer number (188194149360).

Almost surely, 2^{10120122221011} is an apocalyptic number.

10120122221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120122221011 is a deficient number, since it is larger than the sum of its proper divisors (1924303338029).

10120122221011 is a wasteful number, since it uses less digits than its factorization.

10120122221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10120122221011 its reverse (11012222102101), we get a palindrome (21132344323112).

It can be divided in two parts, 10 and 120122221011, that added together give a palindrome (120122221021).

The spelling of 10120122221011 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, eleven".